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A010719 Period 2: repeat {5,8}. 5

%I #26 Dec 14 2023 06:05:35

%S 5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,

%T 5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,5,8,

%U 5,8,5,8,5,8,5,8,5,8,5,8,5

%N Period 2: repeat {5,8}.

%C The inverse binomial transform is 5, 3, -6, 12, -24, 48, -96, 192, -384, 768, ... essentially A110164. - _R. J. Mathar_, Feb 25 2023

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).

%F a(n) = a(n-2) for n > 1; a(0) = 5, a(1) = 8. G.f.: (5+8*x)/((1-x)*(1+x)). - _Vincenzo Librandi_, Aug 01 2010

%F a(n) = 3*(n mod 2) + 5. - _Wesley Ivan Hurt_, Jun 14 2014

%p A010719:=n->3*(n mod 2) + 5; seq(A010719(n), n=0..50); # _Wesley Ivan Hurt_, Jun 14 2014

%t Table[3 Mod[n, 2] + 5, {n, 0, 50}] (* _Wesley Ivan Hurt_, Jun 14 2014 *)

%o (Magma) [ 3*(n mod 2) + 5 : n in [0..50] ]; // _Wesley Ivan Hurt_, Jun 14 2014

%Y Cf. A176323.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_, Dec 11 1996

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Last modified April 17 23:23 EDT 2024. Contains 371767 sequences. (Running on oeis4.)